We're dividing 35365040 by 127 
We're looking to find how many times 127 goes into 35365040.

Step 1:
The number 127 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 127

On to step 2:
35 divided by 127 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Grab the next digit (3) from the dividend, add it to 35, then carry on: 353 / 127

Let's proceed to step 3:
When dividing 353 by 127, we get 2 with a remainder of 99.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 254 from 353 to get 99.
Bring next digit (6) of the dividend behind the 99 and repeat the process: 996 / 127

Moving on to step 4:
127 goes into 996 7 times with a remainder of 107.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Subtract 889 from 996 to get 107.
Append the next digit (5) from the dividend to 107 and continue with: 1075 / 127

Advancing to step 5:
If we divide 1075 by 127, we get 8 and a remainder of 59.
The next digit of our result is 8. 
Result so far: 278.0
Subtract 1016 from 1075 to get 59.
Bring next digit (0) of the dividend behind the 59 and repeat the process: 590 / 127

On to step 6:
590 divided by 127 is 4 with a remainder of 82.
Put 4 as the next digit of the answer. 
Result so far: 2784.0
Deduct 508 from 590 and we're left with 82.
Bring next digit (4) of the dividend behind the 82 and repeat the process: 824 / 127

Let's proceed to step 7:
When dividing 824 by 127, we get 6 with a remainder of 62.
Put 6 as the next digit of the answer. 
Result so far: 27846.0
If we take 762 away from 824, we end up with 62.
Take the next digit (0) from the dividend and append it to 62, then repeat: 620 / 127

Let's proceed to step 8:
When dividing 620 by 127, we get 4 with a remainder of 112.
Use 4 as the next digit of our solution. 
Result so far: 278464.0
If we subtract 508 from 620, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Step 9:
127 goes into 1120 8 times with a remainder of 104.
Write down 8 as next digit of the result. 
Result so far: 278464.8
Deduct 1016 from 1120 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Step 10:
127 goes into 1040 8 times with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 278464.88
If we take 1016 away from 1040, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Our division results in 278464.88 with a remaining 0.024.